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Finding the Fourth Proportional to 378,482.96, 567,757.24 and 138,662

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Solution

The fourth proportional to 378,482.96, 567,757.24 and 138,662 is: 208,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,482.96 : 567,757.24 = 138,662 : x
  2. Step 2: Convert to fraction form
    378,482.96/567,757.24 = 138,662/x
  3. Step 3: Cross multiply
    378,482.96x = 567,757.24 × 138,662
  4. Step 4: Simplify right side
    378,482.96x = 78,726,354,412.88
  5. Step 5: Solve for x
    x = 78,726,354,412.88/378,482.96
  6. Step 6: Final answer
    x = 208,005.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.